2006Rose-Hulman Scholar (Rose–Hulman Institute of Technology)Open access

On A Sequence Of Cantor Fractals

Mohsen Soltanifar

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Abstract

In this paper we discuss some topological and geometrical properties of terms in a sequence of Cantor fractals and the limit of the sequence in order to obtain an exact relation between positive real numbers and Hausdorff dimensions of fractals of Euclidean spaces. 1

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In this paper we discuss some topological and geometrical properties of terms in a sequence of Cantor fractals and the limit of the sequence in order to obtain an exact relation between positive real numbers and Hausdorff dimensions of fractals of Euclidean spaces. 1

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Available abstract

In this paper we discuss some topological and geometrical properties of terms in a sequence of Cantor fractals and the limit of the sequence in order to obtain an exact relation between positive real numbers and Hausdorff dimensions of fractals of Euclidean spaces. 1

Key concepts: Fractal, Mathematics, Sequence (biology), Euclidean geometry, Limit (mathematics), Cantor set, Limit of a sequence, Relation (database)

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